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Finding the Third Proportional to 145,195.03 and 341,605.69

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Solution

The third proportional to 145,195.03 and 341,605.69 is: 803,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,195.03 : 341,605.69 = 341,605.69 : x
  2. Step 2: Convert to fraction form
    145,195.03/341,605.69 = 341,605.69/x
  3. Step 3: Cross multiply
    145,195.03x = 341,605.69 × 341,605.69
  4. Step 4: Simplify right side
    145,195.03x = 116,694,445,732.35
  5. Step 5: Solve for x
    x = 116,694,445,732.35/145,195.03
  6. Step 6: Final answer
    x = 803,708.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.